Theory and Modern Applications
From: A new parallel algorithm for solving parabolic equations
\(x_{j}\) | Algorithm 1 (t = 0.2) | Algorithm 1 (t = 0.4) | Algorithm 1 (t = 0.8) | |||
---|---|---|---|---|---|---|
A. E. | R. E. | A. E. | R. E. | A. E. | R. E. | |
0.11 | 0.3731e−3 | 1.7559e−2 | 0.5021e−3 | 1.9312e−2 | 0.7577e−3 | 1.9534e−2 |
0.21 | 0.6184e−3 | 1.5420e−2 | 0.8428e−3 | 1.7176e−2 | 1.2739e−3 | 1.7399e−2 |
0.31 | 0.8750e−3 | 1.5999e−2 | 1.1881e−3 | 1.7754e−2 | 1.7950e−3 | 1.7976e−2 |
0.42 | 0.9753e−3 | 1.5409e−2 | 1.3294e−3 | 1.7165e−2 | 2.0093e−3 | 1.7388e−2 |
0.52 | 1.0066e−3 | 1.5469e−2 | 1.3715e−3 | 1.7225e−2 | 2.0729e−3 | 1.7447e−2 |
0.63 | 0.9135e−3 | 1.5280e−2 | 1.2463e−3 | 1.7037e−2 | 1.8839e−3 | 1.7259e−2 |
0.73 | 0.7582e−3 | 1.5778e−2 | 1.0310e−3 | 1.7534e−2 | 1.5579e−3 | 1.7757e−2 |
0.84 | 0.5469e−3 | 1.7563e−2 | 0.7361e−3 | 1.9316e−2 | 1.1109e−3 | 1.9538e−2 |
0.95 | 0.1891e−3 | 1.7556e−2 | 0.2545e−3 | 1.9309e−2 | 0.3841e−3 | 1.9532e−2 |